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An Exact Solution of Perfect Fluid in Isotropic Coordinates, Compatible with Relativistic Modeling of Star

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Abstract

We present a spherically symmetric solution of the general relativistic field equations in isotropic coordinates for perfect fluid, compatible with a super dense star modeling. The solution is well behaved for all the values of u lying in the range 0<u≤0.12. Further, we have constructed a super-dense star model with all degree of suitability and by assuming the surface density ρ b =2×1014 g/cm3. Corresponding to u=0.12, the resulting well behaved model has maximum mass M=0.912M Θ with radius R b ≈11.27 km and Moment of inertia 0.97×1045 gm cm2. The good matching of our results for Vela pulsars show the stoutness of our model.

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Acknowledgement

One of us (Neeraj Pant) is grateful to Air Marshal K.S. Gill AVSM YSM VM, the Commandant NDA Khadakwasla Pune for his motivation and encouragement. We are grateful to the anonymous referees for making constructive and relevant suggestions.

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Authors and Affiliations

  1. Mathematics Department, National Defence Academy, Khadakwasla, Pune, 411023, India

    Neeraj Pant

  2. Physics Department, S.S.J. Campus, Almora, India

    Pratibha Fuloria

  3. Physics Department, National Defence Academy, Khadakwasla, Pune, 411023, India

    N. Pradhan

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  1. Neeraj Pant
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  2. Pratibha Fuloria
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  3. N. Pradhan
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Correspondence to Neeraj Pant.

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Pant, N., Fuloria, P. & Pradhan, N. An Exact Solution of Perfect Fluid in Isotropic Coordinates, Compatible with Relativistic Modeling of Star. Int J Theor Phys 53, 993–1002 (2014). https://doi.org/10.1007/s10773-013-1892-9

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  • DOI: https://doi.org/10.1007/s10773-013-1892-9

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